A dissipative branching-process model for sandpile dynamics on complex networks predicts exponential cutoffs in avalanche sizes and shows that clustering lowers the avalanche exponent.
2.ψ(z)admits the following square-root singular expan- sion atz=ρ: ψ(z) =τ−γ r 1− z ρ +O 1− z ρ , γ= s 2ϕ(τ) ϕ′′(τ)
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Sandpile Models on complex networks
A dissipative branching-process model for sandpile dynamics on complex networks predicts exponential cutoffs in avalanche sizes and shows that clustering lowers the avalanche exponent.